## Linear Operators, Part 2 |

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Page 990

A bounded measurable function o on R is in the L - closed linear subspace of L (

R ) which is

Conversely , if y is in the L , - closed linear manifold

A bounded measurable function o on R is in the L - closed linear subspace of L (

R ) which is

**determined**by the characters in any neighborhood of its spectral set .Conversely , if y is in the L , - closed linear manifold

**determined**by the ...Page 1321

The matrices I = ( Vis ) and I ' = ( V ) in the preceding theorem are uniquely

Proof . We have seen in the derivation of Theorem 8 that the functions az ( t ) and

Bi ( t ) ...

The matrices I = ( Vis ) and I ' = ( V ) in the preceding theorem are uniquely

**determined**by the jump equations and by the boundary conditions defining T .Proof . We have seen in the derivation of Theorem 8 that the functions az ( t ) and

Bi ( t ) ...

Page 1323

To

numbers ai ( t ) and Bi ( t ) we have the n jump ... By symmetry ( V ) and ( Vís ) are

also

( K ) ...

To

**determine**the u * + v * = ( p * + q * ) - ( u * + v * ) = ( n + k * ) - ( u * + + * )numbers ai ( t ) and Bi ( t ) we have the n jump ... By symmetry ( V ) and ( Vís ) are

also

**determined**uniquely by the jump conditions and the boundary conditions Ez( K ) ...

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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